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Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equationsстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Mironov A., Morozov A., Natanzon S.
- Журнал: Journal of High Energy Physics
- Номер: 11
- Год издания: 2011
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- DOI: 10.1007/JHEP11(2011)097
- Аннотация: Correlators in topological theories are given by the values of a linear form on the products of operators from a commutative associative algebra (CAA). As a corollary, partition functions of topological theory always satisfy the generalized WDVV equations of [42]. We consider the Hurwitz partition functions, associated in this way with the CAA of cut-and-join operators. The ordinary Hurwitz numbers for a given number of sheets in the covering provide trivial (sums of exponentials) solutions to the WDVV equations, with finite number of time-variables. The generalized Hurwitz numbers from [32, 33] provide a non-trivial solution with infinite number of times. The simplest solution of this type is associated with a subring, generated by the dilatation operators (W) over cap (1) = tr D = tr X partial derivative/partial derivative X
- Добавил в систему: Натанзон Сергей Миронович